Semiclassical theory of the emission properties of wave-chaotic resonant cavities

TL;DR

This paper develops a semiclassical perturbation theory to analyze the emission properties and lifetimes of wave-chaotic resonant cavities, linking quantum characteristics to classical ray dynamics.

Contribution

It introduces a novel semiclassical approach to compute resonance lifetimes and emission intensities in asymmetric resonant cavities, connecting quantum and classical descriptions.

Findings

Expressed inverse lifetime and emission intensity in terms of matrix elements.

Calculated matrix elements using semiclassical approximation.

Represented emission properties as sums over refracting rays.

Abstract

We develop a perturbation theory for the lifetime and emission intensity for isolated resonances in asymmetric resonant cavities. The inverse lifetime $\Gamma$ and the emission intensity $I(\theta)$ in the open system are expressed in terms of matrix elements of operators evaluated with eigenmodes of the closed resonator. These matrix elements are calculated in a semiclassical approximation which allows us to represent $\Gamma$ and $I(\theta)$ as sums over the contributions of rays which escape the resonator by refraction.